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ERIC Number: EJ1257368
Record Type: Journal
Publication Date: 2020-Jul
Pages: 27
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-2198-9745
EISSN: N/A
An Evaluation of ULTRA; An Experimental Real Analysis Course Built on a Transformative Theoretical Model
Fukawa-Connelly, Timothy; Mejía-Ramos, Juan Pablo; Wasserman, Nicholas H.; Weber, Keith
International Journal of Research in Undergraduate Mathematics Education, v6 n2 p159-185 Jul 2020
Most prospective secondary mathematics teachers in the United States complete a course in real analysis, yet view the content as unrelated to their future teaching. We leveraged a theoretically-motivated instructional model to design modules for a real analysis course that could inform secondary teachers' actionable content knowledge and pedagogy. The theoretical model and designed curriculum launches the study of advanced mathematics content, in this case, real analysis, via authentic 7-12 classroom situations, abstracts the secondary mathematics, and uses that content to motivate the presentation of the advanced mathematics content. Subsequently, the curriculum then reconnects to practice, asking the teachers to translate ideas from real analysis in ways that are appropriate for teaching high school content to students. This study evaluated the success of the curriculum in terms of the students' proficiency with real analysis, challenging secondary mathematics content, and the use of that content in teaching situations via both written post-tests and interviews and showed the viability of the model and experimental curriculum.
Springer. Available from: Springer Nature. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education; Secondary Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: DUE1524739; DUE1524681; DUE1524619